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Simplifying (xy2 + -4y) * dx + (x2y + -4x) * dy = 0 Reorder the terms for easier multiplication: dx(xy2 + -4y) + (x2y + -4x) * dy = 0 (xy2 * dx + -4y * dx) + (x2y + -4x) * dy = 0 Reorder the terms: (-4dxy + dx2y2) + (x2y + -4x) * dy = 0 (-4dxy + dx2y2) + (x2y + -4x) * dy = 0 Reorder the terms: -4dxy + dx2y2 + (-4x + x2y) * dy = 0 Reorder the terms for easier multiplication: -4dxy + dx2y2 + dy(-4x + x2y) = 0 -4dxy + dx2y2 + (-4x * dy + x2y * dy) = 0 -4dxy + dx2y2 + (-4dxy + dx2y2) = 0 Reorder the terms: -4dxy + -4dxy + dx2y2 + dx2y2 = 0 Combine like terms: -4dxy + -4dxy = -8dxy -8dxy + dx2y2 + dx2y2 = 0 Combine like terms: dx2y2 + dx2y2 = 2dx2y2 -8dxy + 2dx2y2 = 0 Solving -8dxy + 2dx2y2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2dxy'. 2dxy(-4 + xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + xy)' equal to zero and attempt to solve: Simplifying -4 + xy = 0 Solving -4 + xy = 0 Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + xy = 0 + 4 Combine like terms: -4 + 4 = 0 0 + xy = 0 + 4 xy = 0 + 4 Combine like terms: 0 + 4 = 4 xy = 4 Add '-1xy' to each side of the equation. xy + -1xy = 4 + -1xy Combine like terms: xy + -1xy = 0 0 = 4 + -1xy Simplifying 0 = 4 + -1xy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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